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PLEASE HELP WILL GIVE BRAIN Which could be the function of the following graph?

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2 f(x)=(x+5)3(x+1)2(x−2)2

f(x) = (x + 5)^2(x + 1)(x - 2)^3 f(x)=(x+5)2(x+1)(x−2)3

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5) f(x)=(x+5)3(x+1)2(x−2)2(x−5)

f(x) = (x + 5)(x + 1)^3(x - 2)^2

PLEASE HELP WILL GIVE BRAIN Which could be the function of the following graph fx x 53x 12x 22 fxx53x12x22 fx x 52x 1x 23 fxx52x1x23 fx x 53x 12x 22x 5 fxx53x12 class=

Respuesta :

mhanifa

Answer:

  • Close options are B and D but no matching function

Step-by-step explanation:

The graphed function has:

  • Even degree because overall U-shaped
  • Three x-intercepts (-5, -1, 2)
  • There is one y-intercept (-5)

The answer options:

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2

  • Has degree of (3 + 2 + 2) = 7 - incorrect

f(x) = (x + 5)^2(x + 1)(x - 2)^3

  • Has degree of (2 + 1 + 3) = 6 - correct
  • x- intercepts are (-5, -1, 2) - correct
  • y- intercept is (-200) - incorrect

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5)

  • Has degree of (3 + 2 + 2 + 1) = 8 - correct
  • x- intercepts are (-5, -1, 2, 5) - incorrect

f(x) = (x + 5)(x + 1)^3(x - 2)^2

  • Has degree of (1 + 3 + 2) = 6 - correct
  • x- intercepts are (-5, -1, 2) - correct
  • y- intercept is (24) - incorrect
lvvies

Answer:

C

Step-by-step explanation:

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